A company manufactures four parts using a milling and a grinding machine. These two machines are...

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A company manufactures four parts using a milling and a grinding machine. These two machines are available for 8 hours of operation (one shift) in a day. The time required for manufacture of each part by these operations is shown below (in minutes). Part# 1 2 3 4 Milling 3 7 5 6 Grinding 6 2 5 3 (a) Formulate a GP problem considering that in order to balance the use of machines, variation in overall operational time of the two machines is expected to be at most 30 minutes. The minimum market demand is 8 units for each part. Also, it is desired that part 1 be manufactured more than part 2. [2.5 marks] (b) Assuming that overtime is not allowed and the market demand goal is twice as important as that of machine balancing, solve the problem, and determine if the goals are met. [2.5 marks] A company manufactures four parts using a milling and a grinding machine. These two machines are available for 8 hours of operation (one shift) in a day. The time required for manufacture of each part by these operations is shown below (in minutes). Part# 1 2 3 4 Milling 3 7 5 6 Grinding 6 2 5 3 (a) Formulate a GP problem considering that in order to balance the use of machines, variation in overall operational time of the two machines is expected to be at most 30 minutes. The minimum market demand is 8 units for each part. Also, it is desired that part 1 be manufactured more than part 2. [2.5 marks] (b) Assuming that overtime is not allowed and the market demand goal is twice as important as that of machine balancing, solve the problem, and determine if the goals are met. [2.5 marks]

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A a GP problem Decision variables x1 Number of part 1 manufactured x2 Number of part 2 m... View the full answer